de Ávila Silva, Fernando; Cappiello, Marco Time-periodic Gelfand-Shilov spaces and global hypoellipticity on \(\mathbb{T}\times\mathbb{R}^n\). (English) Zbl 1490.46038 J. Funct. Anal. 282, No. 9, Article ID 109418, 29 p. (2022). Reviewer: Antonio Galbis (Valencia) MSC: 46F05 35B10 35B65 35H10 PDFBibTeX XMLCite \textit{F. de Ávila Silva} and \textit{M. Cappiello}, J. Funct. Anal. 282, No. 9, Article ID 109418, 29 p. (2022; Zbl 1490.46038) Full Text: DOI arXiv
Ascanelli, Alessia; Cappiello, Marco Schrödinger-type equations in Gelfand-Shilov spaces. (English. French summary) Zbl 1427.35223 J. Math. Pures Appl. (9) 132, 207-250 (2019). MSC: 35Q41 35S05 46F05 35B65 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cappiello}, J. Math. Pures Appl. (9) 132, 207--250 (2019; Zbl 1427.35223) Full Text: DOI arXiv
Cappiello, Marco; Gramchev, Todor; Pilipovic, Stevan; Rodino, Luigi Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces. (English) Zbl 1454.35100 J. Anal. Math. 138, No. 2, 857-870 (2019). Reviewer: Petar Popivanov (Sofia) MSC: 35J30 35L45 35B65 35S10 PDFBibTeX XMLCite \textit{M. Cappiello} et al., J. Anal. Math. 138, No. 2, 857--870 (2019; Zbl 1454.35100) Full Text: DOI arXiv
Abdeljawad, Ahmed; Cappiello, Marco; Toft, Joachim Pseudo-differential calculus in anisotropic Gelfand-Shilov setting. (English) Zbl 1419.35262 Integral Equations Oper. Theory 91, No. 3, Paper No. 26, 33 p. (2019). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 35S05 35A20 42B35 46F05 PDFBibTeX XMLCite \textit{A. Abdeljawad} et al., Integral Equations Oper. Theory 91, No. 3, Paper No. 26, 33 p. (2019; Zbl 1419.35262) Full Text: DOI arXiv
Cappiello, Marco; Toft, Joachim Pseudo-differential operators in a Gelfand-Shilov setting. (English) Zbl 1377.47017 Math. Nachr. 290, No. 5-6, 738-755 (2017). MSC: 47G30 46F05 PDFBibTeX XMLCite \textit{M. Cappiello} and \textit{J. Toft}, Math. Nachr. 290, No. 5--6, 738--755 (2017; Zbl 1377.47017) Full Text: DOI arXiv
Cappiello, Marco; Pilipović, Stevan; Prangoski, Bojan Semilinear pseudodifferential equations in spaces of tempered ultradistributions. (English) Zbl 1381.35259 J. Math. Anal. Appl. 442, No. 1, 317-338 (2016). MSC: 35S05 47F05 PDFBibTeX XMLCite \textit{M. Cappiello} et al., J. Math. Anal. Appl. 442, No. 1, 317--338 (2016; Zbl 1381.35259) Full Text: DOI arXiv
Cappiello, Marco; Schulz, René Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions. (English) Zbl 1339.35014 Complex Var. Elliptic Equ. 61, No. 4, 538-561 (2016). MSC: 35A27 35A18 35A22 46F05 PDFBibTeX XMLCite \textit{M. Cappiello} and \textit{R. Schulz}, Complex Var. Elliptic Equ. 61, No. 4, 538--561 (2016; Zbl 1339.35014) Full Text: DOI arXiv
Cappiello, Marco; Rodino, Luigi; Toft, Joachim Radial symmetric elements and the Bargmann transform. (English) Zbl 1323.35154 Integral Transforms Spec. Funct. 25, No. 9, 756-764 (2014). Reviewer: Artyom Andronov (Saransk) MSC: 35Q40 35S05 46F05 33C10 30Gxx PDFBibTeX XMLCite \textit{M. Cappiello} et al., Integral Transforms Spec. Funct. 25, No. 9, 756--764 (2014; Zbl 1323.35154) Full Text: DOI arXiv
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi Exponential estimates and holomorphic extensions for semilinear elliptic pseudodifferential equations. (English) Zbl 1232.35200 Complex Var. Elliptic Equ. 56, No. 12, 1129-1142 (2011). Reviewer: Petar Popivanov (Sofia) MSC: 35S05 35J60 35B40 35B08 PDFBibTeX XMLCite \textit{M. Cappiello} et al., Complex Var. Elliptic Equ. 56, No. 12, 1129--1142 (2011; Zbl 1232.35200) Full Text: DOI
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi Entire extensions and exponential decay for semilinear elliptic equations. (English) Zbl 1217.35070 J. Anal. Math. 111, 339-367 (2010). Reviewer: Alla Boikova (Penza) MSC: 35J61 35J10 35B40 35P05 34A30 35B60 PDFBibTeX XMLCite \textit{M. Cappiello} et al., J. Anal. Math. 111, 339--367 (2010; Zbl 1217.35070) Full Text: DOI
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi Sub-exponential decay and uniform holomorphic extensions for semilinear pseudodifferential equations. (English) Zbl 1196.35239 Commun. Partial Differ. Equations 35, No. 5, 846-877 (2010). Reviewer: Calin Martin (Los Angeles) MSC: 35S05 35B40 35B65 PDFBibTeX XMLCite \textit{M. Cappiello} et al., Commun. Partial Differ. Equations 35, No. 5, 846--877 (2010; Zbl 1196.35239) Full Text: DOI
Cappiello, Marco; Gramchev, Todor; Rodino, Luigi Decay and regularity for harmonic oscillator-type equations. (English) Zbl 1179.35118 Integral Transforms Spec. Funct. 20, No. 3-4, 283-290 (2009). Reviewer: Mridula Garg (Jaipur) MSC: 35J60 35J10 33C15 35C05 PDFBibTeX XMLCite \textit{M. Cappiello} et al., Integral Transforms Spec. Funct. 20, No. 3--4, 283--290 (2009; Zbl 1179.35118) Full Text: DOI
Ascanelli, Alessia; Cappiello, Marco Hölder continuity in time for SG hyperbolic systems. (English) Zbl 1165.35030 J. Differ. Equations 244, No. 8, 2091-2121 (2008). Reviewer: K. Kajitani (Ibaraki) MSC: 35L45 35B65 35S10 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cappiello}, J. Differ. Equations 244, No. 8, 2091--2121 (2008; Zbl 1165.35030) Full Text: DOI
Cappiello, Marco Wave front set at infinity for tempered ultradistributions and hyperbolic equations. (English) Zbl 1137.35090 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 247-270 (2006). Reviewer: Uta Freiberg (Canberra) MSC: 35S10 35A21 35A27 PDFBibTeX XMLCite \textit{M. Cappiello}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 247--270 (2006; Zbl 1137.35090) Full Text: DOI